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Finding the Fourth Proportional to 3,144.87, 4,714.06 and 1,064.19

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Solution

The fourth proportional to 3,144.87, 4,714.06 and 1,064.19 is: 1,595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.87 : 4,714.06 = 1,064.19 : x
  2. Step 2: Convert to fraction form
    3,144.87/4,714.06 = 1,064.19/x
  3. Step 3: Cross multiply
    3,144.87x = 4,714.06 × 1,064.19
  4. Step 4: Simplify right side
    3,144.87x = 5,016,655.51
  5. Step 5: Solve for x
    x = 5,016,655.51/3,144.87
  6. Step 6: Final answer
    x = 1,595.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.